Standard Position

Definition of Standard Position

Angle in standard position is an angle drawn on the x-y plane with its vertex at the origin and its initial side along the positive x-axis.

                        

More about Standard Position

  • If the terminal side of an angle in standard position turns counterclockwise, then the angle is positive.
  • If the terminal side of an angle in standard position turns clockwise, then the angle is negative.

                            

Examples of Standard Position 

  • The figure below shows a positive angle.

  • The figure below shows a negative angle.

                                     

Solved Example on Standard Position

A lighthouse makes an angle of 130° from ship due north as shown in the figure. Find the location of the lighthouse in terms of an angle in standard position.

Choices:

A. 230°

B. 320°

C. 310°

D. 130°

Correct Answer: B

Solution:

Step 1: The location of the lighthouse in terms of an angle in standard position is 360° - 40° = 320°.

  

 

Related Terms for Standard Position   

  • Angle
  • x-axis
  • Vertex
  • Origin

                                        

Additional Links for Standard Position